11746544603904 has 1296 divisors, whose sum is σ = 39621232851200. Its totient is φ = 3467533639680.

The previous prime is 11746544603891. The next prime is 11746544603917. The reversal of 11746544603904 is 40930644564711.

It is a happy number.

11746544603904 is a `hidden beast` number, since 1 + 1 + 7 + 4 + 6 + 544 + 6 + 0 + 3 + 90 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (11746544603891) and next prime (11746544603917).

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 84507515067 + ... + 84507515205.

Almost surely, 2^{11746544603904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11746544603904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19810616425600).

11746544603904 is an abundant number, since it is smaller than the sum of its proper divisors (27874688247296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11746544603904 is a wasteful number, since it uses less digits than its factorization.

11746544603904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 11746544603904 in words is "eleven trillion, seven hundred forty-six billion, five hundred forty-four million, six hundred three thousand, nine hundred four".